Since the least-order system matrix representation of the distillation column generated in Section 2.3 is in state-space form, the corresponding state-space model can be readily constructed. Here is the resulting 9th-order state-space model. Out[3]= | |
These are the poles (eigenvalues) of this model. Out[5]= | |
These are the desired closed-loop poles, produced by replacing the two slowest open-loop poles by poles at -0.01. Out[7]= | |
This is a full-rank state-feedback compensator such that the resulting closed-loop system will have the desired poles (see Section 6.3). Out[10]= | |
This closes the feedback loop. Out[13]= | |
The constant state-feedback compensator has achieved the desired closed-loop system poles. Out[15]= | |
|